hadronic mathematics, mechanics and chemistry - Institute for Basic ...

HADRONIC MATHEMATICS, MECHANICS AND CHEMISTRY 5
Figure 1.2. A first illustration of the second major scientific imbalance of the 20-th century
studied in this monograph, the abstraction of extended hyperdense particles, such as protons
and neutrons, to points, with consequential ignorance of the nonlocal and nonpotential effects
caused by the deep overlapping of the hyperdense media in the interior of said particles. As
we shall see, besides having major scientific implications, such as a necessary reformulation of
Feynman’s diagrams, the quantitative treatment of the nonlocal and nonpotential effects of this
figure permits truly momentous advances, such as the conversion of divergent perturbative series
into convergent forms, as well as the prediction and industrial development of basically new,
clean energies and fuels.
It should be indicated that there exist numerous definitions of “nonlocality”
in the literature, a number of which have been adapted to be compatible with
pre-existing doctrines. The notion of nonlocality studied by hadronic mechanics
is that specifically referred to interactions of contact type not derivable from
a potential and occurring in a surface, as for the case of resistive forces, or
in a volume, as for the case of deep mutual penetration and overlapping of the
wavepackets and/or charge distributions of particles.
The imbalance was mandated by the fact (well known to experts to qualify as
such) that nonlocal-integral and nonpotential interactions are structurally incompatible
with quantum mechanics and special relativity, beginning with its localdifferential
topology, because the interactions here considered cause the catastrophic
collapse of the mathematics underlying special relativity, let alone the
irreconcilable inapplicability of the physical laws.
In fact, the local-differential topology, calculus, geometries, symmetries, and
other mathematical methods underlying special relativity permit the sole consistent
description of a finite number of point-like particles moving in vacuum